{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Logistic Modeling of COVID-19 Confirmed Cases\n",
    "This notebook explores modeling the spread of COVID-19 confirmed cases as a logistic function. It compares the accuracy of two sigmoid models: [simple logistic function](https://en.wikipedia.org/wiki/Logistic_function) and [Gompertz function](https://en.wikipedia.org/wiki/Gompertz_function), and finds the Gompertz function to be a fairly accurate short-term predictor of future confirmed cases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "\n",
    "df = pd.read_csv('https://open-covid-19.github.io/data/data.csv')\n",
    "df = df.set_index('Date')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Defining our parameters\n",
    "Here we are looking at the confirmed and fatal cases for Korea through March 18. To apply the model to other countries or dates, just change the code below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "country_code = 'KR'\n",
    "date_limit = '2020-03-18'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Looking at the outbreak\n",
    "There are months of data, but we only care about when the number of cases started to grow. We define *outbreak* as whenever the number of cases exceeded certain threshold. In this case, we are using 10."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_outbreak_mask(data: pd.DataFrame, threshold: int = 10):\n",
    "    ''' Returns a mask for > N confirmed cases '''\n",
    "    return data['Confirmed'] > threshold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "cols = ['CountryCode', 'CountryName', 'Confirmed', 'Deaths']\n",
    "# Get data only for the selected country\n",
    "country = df[df['CountryCode'] == country_code][cols]\n",
    "# Get data only for the selected dates\n",
    "country = country[country.index <= date_limit]\n",
    "# Get data only after the outbreak begun\n",
    "country = country[get_outbreak_mask(country)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting the data\n",
    "Let's take a first look at the data. A visual inspection will typically give us a lot of information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {}
    }
   ],
   "source": [
    "country.plot(kind='bar', figsize=(16, 8));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Modeling the data\n",
    "The data appears to follow very closely a sigmoid function (S-shaped curve). Logically, it makes sense: by the time the outbreak is discovered, there are many undiagnosed (and even asymptomatic) cases which lead to very rapid initial growth; later on, after a combination of aggressive measures to avoid further spread and immunity developed by potential hosts, the growth becomes much slower. Let's see if we can model it using some parameter fitting:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Estimated function: 8263.991 / (1 + e^(0.323 * (X - 30.176))\n"
    }
   ],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "from scipy import optimize\n",
    "\n",
    "def logistic_function(x: float, a: float, b: float, c: float):\n",
    "    ''' 1 / (1 + e^-x) '''\n",
    "    return a / (1.0 + np.exp(-b * (x - c)))\n",
    "\n",
    "X, y = list(range(len(country))), country['Confirmed'].tolist()\n",
    "# Providing a reasonable initial guess is crucial for this model\n",
    "params, _ = optimize.curve_fit(logistic_function, X, y, maxfev=int(1E5), p0=[max(y), 1, np.median(X)])\n",
    "\n",
    "print('Estimated function: {0:.3f} / (1 + e^({1:.3f} * (X - {2:.3f}))'.format(*params))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "ax = country[['Confirmed']].plot(kind='bar', figsize=(16, 8))\n",
    "estimate = [logistic_function(x, *params) for x in X]\n",
    "ax.plot(country.index, estimate, color='red', label='Logistic Estimate')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gompertz function\n",
    "While the simple logistic function provides a reasonably good fit, it appears to under-estimate the growth rate after the initial outbreak. A better fit might be [Gompertz function](https://en.wikipedia.org/wiki/Gompertz_function) which is an asymmetric logistic function that has a slower growth decay until the curve goes flat over time. Let's take a look at using this new function to find the best paremeters that fit the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Estimated function: 8693.810 * e^(-284.257 * e^(-0.199X))\n"
    }
   ],
   "source": [
    "def logistic_function(x: float, a: float, b: float, c: float):\n",
    "    ''' a * e^(-b * e^(-cx)) '''\n",
    "    return a * np.exp(-b * np.exp(-c * x))\n",
    "\n",
    "X, y = list(range(len(country))), country['Confirmed'].tolist()\n",
    "# Providing a reasonable initial guess is crucial for this model\n",
    "params, _ = optimize.curve_fit(logistic_function, X, y, maxfev=int(1E5), p0=[max(y), np.median(X), .1])\n",
    "\n",
    "print('Estimated function: {0:.3f} * e^(-{1:.3f} * e^(-{2:.3f}X))'.format(*params))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "ax = country[['Confirmed']].plot(kind='bar', figsize=(16, 8))\n",
    "estimate = [logistic_function(x, *params) for x in X]\n",
    "ax.plot(country.index, estimate, color='red', label='Logistic Estimate')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Evaluating the model\n",
    "That curve looks like a very good fit! Traditional epidemiology models generally capture a number of different parameters representing biology and social factors; however, the COVID-19 pandemic might be very challenging to fit for traditional models for a number of reasons:\n",
    "* It's a completely new disease, never seen before\n",
    "* Unprecedented, very aggressive measures have been taken by many nations to try to stop the spread of the disease\n",
    "* Testing has been held back by a combination of shortage of tests and political reasons\n",
    "\n",
    "If a known model is not being used, then a simpler model is more likely to be a better fit; too many parameters have a tendency to *overfit* the data which diminishes the model's ability to make predictions. In other words, the model may appear to be able to perfectly follow known data, but when asked to make a prediction about future data it will likely be wrong. This is one of the main reasons why machine learning is not a good tool for this task, since there is not enough data to avoid overfitting a model.\n",
    "\n",
    "### Validating the model\n",
    "To validate our model, let's try to fit it again without looking at the last 3 days of data. Then, we can estimate the missing days using our model, and verify if the results still hold by comparing what the model thought was going to happen with the actual data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "ESTIMATE_DAYS = 3\n",
    "X_, y_ = X[:-ESTIMATE_DAYS], y[:-ESTIMATE_DAYS]\n",
    "params_validate, _ = optimize.curve_fit(logistic_function, X_, y_, maxfev=int(1E5), p0=[max(y_), np.median(X_), .01])\n",
    "\n",
    "# Project zero for all values except for the last ESTIMATE_DAYS\n",
    "projected = [0] * len(X_) + [logistic_function(x, *params_validate) for x in X[-ESTIMATE_DAYS:]]\n",
    "projected = pd.Series(projected, index=country.index, name='Projected')\n",
    "df_ = pd.DataFrame({'Confirmed': country['Confirmed'], 'Projected': projected})\n",
    "ax = df_.plot(kind='bar', figsize=(16, 8))\n",
    "estimate = [logistic_function(x, *params_validate) for x in X]\n",
    "ax.plot(country.index, estimate, color='red', label='Estimate')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Projecting future data\n",
    "It looks like our logistic model slightly underestimates the confirmed cases. This indicates that the model is optimistic about the slowdown of new cases being reported. A number of factors could affect this, like wider availability of tests. \n",
    "\n",
    "Ultimately, it is also possible that the logistic model is not an appropriate function to use. However, the predictions are close enough to the real data that this is probably a good starting point for a rough estimate over a short time horizon.\n",
    "\n",
    "Now, let's use the model we fitted earlier which used all the data, and try to predict what the next 3 days will look like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "import datetime\n",
    "\n",
    "FUTURE_DAYS = 3\n",
    "\n",
    "# Append N new days to our indices\n",
    "date_format = '%Y-%m-%d'\n",
    "date_range = [datetime.datetime.strptime(date, date_format) for date in country.index]\n",
    "for _ in range(FUTURE_DAYS): date_range.append(date_range[-1] + datetime.timedelta(days=1))\n",
    "date_range = [datetime.datetime.strftime(date, date_format) for date in date_range]\n",
    "\n",
    "# Perform projection with the previously estimated parameters\n",
    "projected = [0] * len(X) + [logistic_function(x, *params) for x in range(len(X), len(X) + FUTURE_DAYS)]\n",
    "projected = pd.Series(projected, index=date_range, name='Projected')\n",
    "df_ = pd.DataFrame({'Confirmed': country['Confirmed'], 'Projected': projected})\n",
    "ax = df_.plot(kind='bar', figsize=(16, 8))\n",
    "estimate = [logistic_function(x, *params) for x in range(len(date_range))]\n",
    "ax.plot(date_range, estimate, color='red', label='Estimate')\n",
    "ax.legend();"
   ]
  }
 ],
 "metadata": {
  "file_extension": ".py",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6-final"
  },
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
  "pygments_lexer": "ipython3",
  "version": 3
 },
 "nbformat": 4,
 "nbformat_minor": 4
}